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CHENG, JH; WU, K; CHENG, JH , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
AbstractHigh-order generators of Lie algebras are defined and their basic properties are discussed in this letter. In 'classical' cases, the high-order generators are simply the enveloping algebras of Lie algebras, while, in 'quantum' cases, we can define the high-order central extensions of (infinite-dimensional) Lie algebras and can see that the high-order generators wr no longer the enveloping algebras of Lie algebras. As an example, we calculate the first-high-order central extensions of Virasoro algebras and find that the first-order and usual-order central extensions are closely related to each other.
1994
ISSN0305-4470
Volume27Issue:10Pages:L317-L321
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/11906
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCHENG, JH , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.
Recommended Citation
GB/T 7714
CHENG, JH,WU, K,CHENG, JH , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA.. HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1994,27(10):L317-L321.
APA CHENG, JH,WU, K,&CHENG, JH , ACAD SINICA,INST THEORET PHYS,POB 2735,BEIJING 100080,PEOPLES R CHINA..(1994).HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,27(10),L317-L321.
MLA CHENG, JH,et al."HIGH-ORDER GENERATORS OF LIE-ALGEBRAS AND HIGH-ORDER CENTRAL EXTENSIONS".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 27.10(1994):L317-L321.
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